Equations transformations with roots

Question

How does the following transformation works (do not write that it is easy i want the answer): $$\ln \sqrt[n]{\frac{n!}{n^n}}=\frac{\ln \frac{n!}{n^n}}{n}$$

Answer 1

$$\ln \left( \frac{n!}{n^n} \right)^{\frac{1}{n}}=\frac{1}{n} \cdot \ln \left( \frac{n!}{n^n} \right)$$